Line Shape and Amplitude of Giant Quantum Oscillations in Ultrasonic Absorption

The line shape of the giant quantum oscillations and the dependence of the amplitude of these oscillations on ultrasonic frequency, magnetic field, and temperature are calculated on the basis of the theory of Gurevich et al. Expressions for determining cross sections of the Fermi surface, effective masses, $g$ factors, matrix elements of the electron-phonon interaction, and electron relaxation times, by the use of giant quantum oscillations, are given. Measurements of the line shape and amplitude of the giant quantum oscillations in gallium are presented and compared with theory.